The number that is added to both sides of the equation x² + 12x = 11 to complete the square is 36.
Polynomial
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomials are classified based on degree as linear, quadratic, cubic and so on.
From the quadratic equation
x² + 12x = 11
Solving using completing the square by adding to both sides the square of half the coefficient of x (36):
x² + 12x + 36 = 11 + 36
(x + 6)² = 47
The number that is added to both sides of the equation x² + 12x = 11 to complete the square is 36.
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